Dynamical robustness of networks against multi-node attacked

Chang-Chun Lv, Shu-Bin Si, Dong-Li Duan and Ren-Jun Zhan

Physica A: Statistical Mechanics and its Applications, 2017, vol. 471, issue C, 837-844

Abstract: A question in the robustness research of networks, which has not been addressed previously but may be more important and of wider interest, is how to consider spatio-temporal tolerance against failure propagation after a fraction f of nodes attacked. Here we develop a quantitative approach to examine the cascading overload condition based on the structure connectivity when a fraction f of nodes is attacked randomly. We also explore the critical threshold against cascading failures with two types of load redistribution rule. Fixing the value of β (the redistribution parameter) or τ (the initial load distribution parameter), we prove that the network shows the strongest robustness when the values of β is equal to τ, and the network robustness shows a growth trend with the decrease of f. We get a striking conclusion within the global load preferential sharing rule that the network robustness is independent of the network topology.

Keywords: Complex network; Structure connectivity; Critical thresholds; Cascading failures (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:471:y:2017:i:c:p:837-844

DOI: 10.1016/j.physa.2016.12.066

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